Look at the attachment. Hope it helps!
Answer:
37044 different combinations of 4 movies can he rent if he wants at least one comedy
Step-by-step explanation:
The order in which the movies are selected is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
How many different combinations of 4 movies can he rent if he wants at least one comedy
The easier way to solve this is subtract the total from the number of combinations with no comedies.
Total:
4 movies from a set of 14 + 19 = 33. So
No comedies:
4 movies from a set of 19.
At least one comedy:
40920 - 3876 = 37044
37044 different combinations of 4 movies can he rent if he wants at least one comedy
Should be:
=1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1823, 3646, 5469, 7292, 10938, 14584, 21876, 29168, 43752, 87504
The number of people who like to fish AND swim is 8 people
The number of people who ONLY like to fish is 11 people
The number of people who ONLY like to swim is 23 people
The number of people who DO NOT like to fish is 23 people
The number of people who DO NOT like to swim is 11 people
The number of people who DO NOT like EITHER to fish or to swim is 6 people
The total of people is 11+8+23+6=48
You dont have a picture so idk the answer but its most likely E if thats an answer choice.